半线性二阶中立型高级差分方程的新振动判据

Q3 Mathematics

International Journal of Difference Equations Pub Date : 2021-06-30 DOI:10.37622/ijde/16.1.2021.107-122

P. Selvakumar, P. Gopalakrishnan, A. Murugesan

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引用次数: 0

摘要

得到了一类二阶半线性中立型高级差分方程(∆(α(ζ)(∆w(ζ)) + η(ζ)y(ζ + κ) = 0的振动判据;ζ≥ζ0，其中w(ζ) = y(ζ) + p(ζ)y(ζ + ξ)通过给出非振荡解的一个新的公理界，给出了一个新的振荡条件，大大改进了已有的振荡条件。导出的振荡常数在非中性情况下是不可改进的。2020数学学科分类:39A12、39A13、39A21。

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New Oscillation Criteria for Half-Linear Second-Order Neutral Advanced Difference Equations

We obtained oscillation criteria for the second-order half-linear neutral advanced difference equations of the kind ∆(α(ζ)(∆w(ζ))) + η(ζ)y(ζ + κ) = 0; ζ ≥ ζ0, where w(ζ) = y(ζ) + p(ζ)y(ζ + ξ). We provide a new oscillation condition, which significantly improves the existing ones, by providing a new axiom bound for a non-oscillatory solution. The derived oscillation constant is unimprovable in a certain nonneutral case. 2020 Mathematics Subject Classifications: 39A12, 39A13, 39A21.

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来源期刊

International Journal of Difference Equations Engineering-Computational Mechanics

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